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Murali Srinivasan

Description: Combinatorics Seminar

Title: Eigenvalues and eigenvectors of the perfect matching
association scheme. (Part II)

Abstract:

We revisit the Bose-Mesner algebra of the perfect matching association
scheme (aka the Hecke algebra of the Gelfand pair (S_2n, H_n), where
H_n is the hyperoctahedral group).

Our main results are:

(1) An algorithm to compute the eigenvalues from symmetric group
characters by solving linear equations.

(2) Universal formulas, as content evaluations of symmetric functions,
for the eigenvalues of fixed orbitals (generalizing a result of
Diaconis and Holmes).

(3) An inductive construction of the eigenvectors (generalizing a
result of Godsil and Meagher).
Location: Ramanujan Hall
Date: Wednesday, November 8, 2017
Time: 11:00am IST
Access: Public